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Mathematica MoravicaPublisher: Faculty of Technical Sciences Čačak, University of Kragujevac, ČačakISSN: 1450-5932Issue: 29_1Date: 2025Journal Homepage Editorial BoardImpressum   Some identities associated with theta functions and tenth order mock theta functions 1 - 14 M.P. Chaudhary, Salem Guiben and Kamel Mazhouda   AbstractKeywords: Theta functions; mock theta functions; q-product identities.MSC: 05A15; 05A17 11P82; 11P83DOI: https://doi.org/10.5937/MatMor2501001C Fixed point results of $α$-$βY$-$F$-Geraghty type contractive mapping on modular $b$-metric spaces 15 - 29 Shishir Jain, Yogita Sharma, Shobha Jain and Sumit Sharma   AbstractKeywords: Fixed point; Geraghty type contraction; $F$-contraction; modular $b$-metric space.MSC: 47H09; 47H10 54E35DOI: https://doi.org/10.5937/MatMor2501015J On the Lichtenberg hybrid quaternions 31 - 41 Gamaliel Morales   AbstractKeywords: Hybrid numbers; Jacobsthal numbers; Jacobsthal quaternions; Lichtenberg numbers; Mersenne numbers; Mersenne quaternions.MSC: 11B37 11B39; 20G20DOI: https://doi.org/10.5937/MatMor2501031M Existence and uniqueness of solutions to a coupled system of implicit fractional differential equations 43 - 69 John R. Graef and Abdelghani Ouahab   AbstractKeywords: Fractional differential equation; implicit differential equation; nonlocal conditions; Perov’s fixed point theorem.MSC: 34A08 34B15; 34B10.DOI: https://doi.org/10.5937/MatMor2501043G Fractional differentiation composition operators from $S_p$ spaces to $H_q$ spaces 71 - 82 Deepjyoti Borgohain   AbstractKeywords: Gaussian hypergeometric function; boundedness; Hardy spaces.MSC: 33C05; 30E20; 30H99 47A30; 47B91; 47E05DOI: https://doi.org/10.5937/MatMor2501071B On pantograph multi-point boundary value problem with Caputo $q$-fractional derivative 83 - 98 Houari Bouzid, Abdelkader Benali and Abdelkrim Salim   AbstractKeywords: Fractional differential equations (FDE); $q$-Riemann-Liouville integral; Fixed point theorem; Existence; Leray-Schauder alternative.MSC: 26A33 34B15DOI: https://doi.org/10.5937/MatMor2501083B $K$-$d$-frames and their duals 99 - 111 Neha Pauriyal and Mahesh C. Joshi   AbstractKeywords: Frame; $K$-frame; $K$-$d$-frame; $K$-$d$-frame operator; $d$-Bessel sequence.MSC: 42C15 46C50DOI: https://doi.org/10.5937/MatMor2501099P The mathematics of generalized Fibonacci sequences: Binet’s formula and identities 113 - 124 K.L. Verma   AbstractKeywords: Generalized Fibonacci sequence; Recurrence relation; Binet formula; Identities.MSC: 11B37 11B39; 11B83DOI: https://doi.org/10.5937/MatMor2501113V Existence, decay and blow up of solutions for a Petrovsky equation with a fractional time delay term 125 - 146 Erhan Pişkin and Erkan Sancar   AbstractKeywords: Existence; Decay; Blow up; Petrovsky equation; Fractional time delay term.MSC: 35A01 35B40; 35B44; 35L75DOI: https://doi.org/10.5937/MatMor2501125P

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